What is the Pythagorean Theorem?
8.9b Applying Pythagorean Theorem

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Mathematics
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8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: c² = a² + b².
2.
FLASHCARD QUESTION
Front
How do you find the length of the hypotenuse using the Pythagorean Theorem?
Back
To find the length of the hypotenuse, rearrange the Pythagorean Theorem formula to c = √(a² + b²), where a and b are the lengths of the other two sides.
3.
FLASHCARD QUESTION
Front
If one leg of a right triangle is 7 feet and the other leg is 4 feet, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c = √(7² + 4²) = √(49 + 16) = √65.
4.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a right triangle?
Back
In a right triangle, the lengths of the sides must satisfy the Pythagorean Theorem, meaning the square of the hypotenuse is equal to the sum of the squares of the other two sides.
5.
FLASHCARD QUESTION
Front
How can the Pythagorean Theorem be applied in real-life situations?
Back
The Pythagorean Theorem can be used in various real-life situations such as determining the length of a ladder needed to reach a certain height, calculating distances in navigation, and in construction to ensure structures are level.
6.
FLASHCARD QUESTION
Front
What is the formula for calculating the area of a square?
Back
The area of a square is calculated using the formula: Area = side², where 'side' is the length of one side of the square.
7.
FLASHCARD QUESTION
Front
If the area of one square is 369 and the area of another is 81, how do you find the area of the missing square off of leg A?
Back
To find the area of the missing square, use the Pythagorean Theorem: Area of missing square = Area of square on hypotenuse - (Area of square on leg A + Area of square on leg B). In this case, it would be 369 - (369 - 81) = 288.
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